High School

Two bumper cars each have a mass of 112 kg. Connie's car is moving at 3.12 m/s, and Bonnie's car is at rest when Connie runs into her. After the collision, Bonnie's car lurches forward at a speed of 1.32 m/s. Connie has a mass of 70 kg, and Bonnie has a mass of 82 kg. What is the post-collision speed of Connie's car?

Answer :

Final answer:

The post-collision speed of Connie's car is determined through the conservation of momentum principle. The total initial momentum (before collision) equals the total final momentum (after collision). By equating and solving for Connie's car speed, we find it to be approximately 1.92 m/s.

Explanation:

Since the two bumper cars collide, we are dealing with conservation of momentum. The conservation of momentum principle states that the total momentum of a system of particles is conserved if there is no resultant external force acting on it. Here, no external force is acting on the two bumper cars.

To solve the question, we need to equate the total initial momentum before the collision to the total final momentum after the collision. The total initial momentum is the momentum of Connie's moving car only as Bonnie's car is at rest (mass x velocity which is 112 kg * 3.12 m/s = 349.44 kg m/s). After the collision, the total momentum would be the momentum of Connie's car moving at an unknown speed and Bonnie's car moving at 1.32 m/s. Thus, we get the equation 349.44 = 112 * speed of Connie's car + 112 * 1.32.

By solving this equation, we find that the post-collision speed of Connie's car is approximately 1.92 m/s.

Learn more about Conservation of Momentum here:

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